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Endoscopy for GSp(4) and the cohomology of Siegel modular threefolds

By: Weissauer, RainerMaterial type: TextTextLanguage: English Series: Lecture notes in mathematics ; 1968Publication details: Berlin : Springer; 2009. Description: xvii, 368 p. : ill. ; 24 cmISBN: 9783540893059Subject(s): Siegel domains | Cohomology operations | Ramanujan's conjecture | Selberg trace formula | Automorphic representations | Cohomology | Cohomology group | Endoscopy | Homology | l-adic representationsDDC classification: 512.73 Online resources: Table of contents | Reviews | Electronic Version Summary: The geometry of modular curves and the structure of their cohomology groups have been a rich source for various number-theoretical applications over the last decades. Similar applications may be expected from the arithmetic of higher dimensional modular varieties. For Siegel modular threefolds some basic results on their cohomology groups are derived in this book from considering topological trace formulas.
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512.73 WEI-E (Browse shelf(Opens below)) Available 25166

Includes bibliographical references (p. 355-359) and index.

The geometry of modular curves and the structure of their cohomology groups have been a rich source for various number-theoretical applications over the last decades. Similar applications may be expected from the arithmetic of higher dimensional modular varieties. For Siegel modular threefolds some basic results on their cohomology groups are derived in this book from considering topological trace formulas.

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